हिंदी

The HCF of two numbers is 27 and their LCM is 162. If one of the number is 81, find the other.

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प्रश्न

The HCF of two numbers is 27 and their LCM is 162. If one of the number is 81, find the other.

संख्यात्मक
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उत्तर

Given: HCF = 27, LCM = 162, one number = 81.

Step-wise calculation:

1. Let the other number be x.

2. Then 81 × x = 27 × 162.

3. Compute 27 × 162 = 27 × (160 + 2)

= 4320 + 54

= 4374

4. So 81x = 4374

⇒ x = 4374 ÷ 81

= 54

The other number is 54.

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अध्याय 1: Real Numbers - TEST YOURSELF [पृष्ठ ४५]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 1 Real Numbers
TEST YOURSELF | Q 6. | पृष्ठ ४५
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